Question

Ten students collected the following amounts (in rupees) for an orphanage:

250, 450, 500, 750, 300, 650, 200, 350, 500, 650

Find their mean and median.

Answer 1

Sum of observations = 250 + 450 + 500 + 750 + 300 + 650 + 200 + 350 + 500 + 650 = 4600

Total number of observations = 10

Mean = `"Sum of observations"/"Total number of observations"`

= `4600/10`

= 460

Arranging the numbers in ascending order,

200, 250, 300, 350, 450, 500, 500, 650, 650, 750

n = 10 observations

`(n/2) = 10/2` = 5th

`(n/2 + 1) = (10/2 + 1)` = 6th

Median = `(450 + 500)/2`

= `950/2`

= 475